very good that you started with presenting the results, many just start talking maths without saying what they are doing when it comes to SOPDT or FOPDT it is better/simpler to just manually adjust the parameters because they are so few, just create a script that updates a model with slides when the parameters are changed and plot with the data and this could be easily identified the data is also bad, without the static gain of the system, but maybe this system never reach stationary state?